51563520 has 176 divisors, whose sum is σ = 183738720. Its totient is φ = 13713408.

The previous prime is 51563507. The next prime is 51563521. The reversal of 51563520 is 2536515.

51563520 is a `hidden beast` number, since 5 + 1 + 5 + 635 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51563521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138054 + ... + 138426.

It is an arithmetic number, because the mean of its divisors is an integer number (1043970).

Almost surely, 2^51563520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869360).

51563520 is an abundant number, since it is smaller than the sum of its proper divisors (132175200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51563520 is a wasteful number, since it uses less digits than its factorization.

51563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 51563520 is about 7180.7743315049. The cubic root of 51563520 is about 372.2038424957.

The spelling of 51563520 in words is "fifty-one million, five hundred sixty-three thousand, five hundred twenty".